Abstract
Two mathematical solutions of a problem of coupled thickness-shear and flexural vibrations of the AT-cut quartz plate, with a pair of parallel, free edges, are presented. In one, some 27 yr old, the dispersion relation for waves in an infinite plate is approximated by a biquadratic equation, following which the edge conditions lead to a transcendental equation. In the other, the exact transcendental equation is employed for the infinite plate and no approximation is introduced until the setting of the edge conditions. Calculations of frequency vs dimensions for both methods are programmed for the HP-67 pocket calculator.
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